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Find the area of the region bounded b...

Find the area of the region bounded by the curve `y=x^2` and the line `y" "=" "4` .

Text Solution

Verified by Experts

The given curve is `y=x^2` and `y = 4`
Area of bounded region = `int_0^4 sqrt(y) dy = [ (3y^(3/2) )/2]_0^4
= [ ((3)(2^3))/(2) - 0 ]`
=> `3xx4 =12` units
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